Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7398/725, 3597/664 quickly i.e. 8870202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7398/725, 3597/664 is 8870202.
LCM(7398/725, 3597/664) = 8870202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7398/725,3597/664
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 7398,3597
Least Common Multiple of Numerators i.e. LCM of 7398,3597 is 8870202.
GCF of Denominators means GCF of 725,664 as per the given fractions.
GCF of 725,664 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7398,3597
3 | 7398, 3597 |
2466, 1199 |
∴ So the LCM of the given numbers is 3 x 2466 x 1199 = 8870202
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 7398,3597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7398,3597) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7398,3597) x common factors =3 x 1 = 3
LCM(7398,3597) = ( 7398 × 3597 ) / 3
LCM(7398,3597) = 26610606 / 3
LCM(7398,3597) = 8870202
Lets's calculate GCF of 725,664
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8870202/1
Therefore the LCM of Fractions 7398/725,3597/664 is 8870202
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 725,664 . The biggest common factor number is the GCF number.
So the greatest common factor 725,664 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 7398/725, 3597/664?
Answer: LCM of Numerators as per given numbers 7398/725, 3597/664 is
LCM of Numerators i.e. for 7398,3597 is 8870202
GCF of denominators i.e. for 725,664 is 1.
Thus, LCM of Fractions is 8870202.Finally, LCM of Fractions for 7398/725, 3597/664 is 8870202.